17 ideas
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
7755 | Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
2614 | Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer] |
2615 | The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer] |
7768 | The truth conditions theory sees meaning as representation [Lycan] |
7766 | Meaning must be known before we can consider verification [Lycan] |
7764 | Could I successfully use an expression, without actually understanding it? [Lycan] |
7763 | It is hard to state a rule of use for a proper name [Lycan] |
7770 | Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan] |
7773 | A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan] |
7774 | Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan] |